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Finding the Fourth Proportional to 188,814.80, 283,139.11 and 100,047.85

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Solution

The fourth proportional to 188,814.80, 283,139.11 and 100,047.85 is: 150,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,814.80 : 283,139.11 = 100,047.85 : x
  2. Step 2: Convert to fraction form
    188,814.80/283,139.11 = 100,047.85/x
  3. Step 3: Cross multiply
    188,814.80x = 283,139.11 × 100,047.85
  4. Step 4: Simplify right side
    188,814.80x = 28,327,459,206.41
  5. Step 5: Solve for x
    x = 28,327,459,206.41/188,814.80
  6. Step 6: Final answer
    x = 150,027.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.